`4 1^n-1 4^n` is a multiple of `27 `

41^(n)-14^(n) is a multiple of 27

Prove the following by using the principle of mathematical induction for all n in Nvdots41^(n)-14^(n) is a multiple of 27

Using the principle of mathematical induction , prove that for n in N , 41^(n) - 14^(n) is a multiple of 27.

Prove the following by using the Principle of mathematical induction AA n in N Given that 5^(n)-5 is divisble by 4 AA n in N .Prove that 2.7^(n)+3.5^(n)-5 is a multiple of 24.

Show that: 2^(4n)-2^n(7n+1) is some multiple of the square of 14, where n is a positive integer.

(N^(P-1)-1) is a multiple of p, if N is prime to p and p is a

The sum to 100 terms of the series 1.2.3. + 2.3.4. + 3.4.5. + …+ n(n + 1) (n+2) + …. is integral multiple of